Finding the Third Proportional to 27,496 and 59,384

Step by Step Solution

1. Step 1: Write the proportion equation
   27,496 : 59,384 = 59,384 : x
2. Step 2: Convert to fraction form
   27,496/59,384 = 59,384/x
3. Step 3: Cross multiply
   27,496x = 59,384 × 59,384
4. Step 4: Simplify right side
   27,496x = 3,526,459,456
5. Step 5: Solve for x
   x = 3,526,459,456/27,496
6. Step 6: Final answer
   x = 128,253.54